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1013124330 = 2325311732099
BaseRepresentation
bin111100011000110…
…000110011101010
32121121101001022100
4330120300303222
54033324434310
6244310434230
734051262151
oct7430606352
92547331270
101013124330
1147a978339
12243362976
13131b83b6a
14987a6598
155de24ec0
hex3c630cea

1013124330 has 96 divisors (see below), whose sum is σ = 2736115200. Its totient is φ = 259816320.

The previous prime is 1013124293. The next prime is 1013124349. The reversal of 1013124330 is 334213101.

1013124330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481621 + ... + 483719.

It is an arithmetic number, because the mean of its divisors is an integer number (28501200).

Almost surely, 21013124330 is an apocalyptic number.

1013124330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013124330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368057600).

1013124330 is an abundant number, since it is smaller than the sum of its proper divisors (1722990870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013124330 is a wasteful number, since it uses less digits than its factorization.

1013124330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1013124330 is about 31829.6140410153. The cubic root of 1013124330 is about 1004.3557763321.

Adding to 1013124330 its reverse (334213101), we get a palindrome (1347337431).

The spelling of 1013124330 in words is "one billion, thirteen million, one hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 173 186 279 310 346 465 519 558 865 930 1038 1395 1557 1730 2099 2595 2790 3114 4198 5190 5363 6297 7785 10495 10726 12594 15570 16089 18891 20990 26815 31485 32178 37782 48267 53630 62970 65069 80445 94455 96534 130138 160890 188910 195207 241335 325345 363127 390414 482670 585621 650690 726254 976035 1089381 1171242 1815635 1952070 2178762 2928105 3268143 3631270 5446905 5856210 6536286 10893810 11256937 16340715 22513874 32681430 33770811 56284685 67541622 101312433 112569370 168854055 202624866 337708110 506562165 1013124330